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11131120112 = 24723291091367
BaseRepresentation
bin10100101110111011…
…10110100111110000
31001201202011111012212
422113131312213300
5140244031320422
65040310311252
7542560650140
oct122735664760
931652144185
1011131120112
1147a2255322
1221a7958528
131085145c08
14778482920
1545233e9e2
hex2977769f0

11131120112 has 160 divisors (see below), whose sum is σ = 26869708800. Its totient is φ = 4362107904.

The previous prime is 11131120111. The next prime is 11131120153. The reversal of 11131120112 is 21102113111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131120111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142053 + ... + 8143419.

It is an arithmetic number, because the mean of its divisors is an integer number (167935680).

Almost surely, 211131120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434854400).

11131120112 is an abundant number, since it is smaller than the sum of its proper divisors (15738588688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131120112 is a wasteful number, since it uses less digits than its factorization.

11131120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11131120112 its reverse (21102113111), we get a palindrome (32233233223).

The spelling of 11131120112 in words is "eleven billion, one hundred thirty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 109 112 116 161 184 203 218 232 322 368 406 436 464 644 667 763 812 872 1288 1334 1367 1526 1624 1744 2507 2576 2668 2734 3052 3161 3248 4669 5014 5336 5468 6104 6322 9338 9569 10028 10672 10936 12208 12644 17549 18676 19138 20056 21872 22127 25288 31441 35098 37352 38276 39643 40112 44254 50576 62882 70196 72703 74704 76552 79286 88508 125764 140392 145406 149003 153104 158572 177016 220087 251528 277501 280784 290812 298006 317144 354032 440174 503056 508921 555002 581624 596012 634288 880348 911789 1017842 1043021 1110004 1163248 1192024 1760696 1823578 2035684 2086042 2220008 2384048 3427069 3521392 3647156 4071368 4172084 4321087 4440016 6382523 6854138 7294312 8142736 8344168 8642174 12765046 13708276 14588624 16688336 17284348 23989483 25530092 27416552 30247609 34568696 47978966 51060184 54833104 60495218 69137392 95957932 99385001 102120368 120990436 191915864 198770002 241980872 383831728 397540004 483961744 695695007 795080008 1391390014 1590160016 2782780028 5565560056 11131120112